Online Geometry Problems

Online Geometry Problem 815: Triangle, Incircle, Semicircles, Arbelos, Area. Level: High School, SAT Prep, College, Mathematics Education

The figure below shows a triangle ABC with the incircle O of area S, tangent to the sides at D, E, and F. Sa, Sb, and Sc are the areas of the arbelos bounded by the semicircles of diameter AB, BC, AC, AD, AF, BD, BE, CE, and CF. Prove that Formula to prove.

Triangle, Incircle, Semicircles, Arbelos, Area


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